The three vectors taken two at a time form three planes

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

The three vectors

i + j, j + k, k + i

taken two at a time form three planes. The three unit vectors drawn perpendicular to these three planes form a parallelopiped of volume (1)

\frac{1}{3}

(2) 4 (3)

3\frac{\sqrt{3}}{4}

(4)

\frac{4}{3\sqrt{3}}